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Grade 7 Math · Proportional Relationships

Grade 7 Proportional Relationships Practice Test

Build Grade 7 Math skills with five 10-question practice tests on unit rates, constants of proportionality, tables, equations, graphs, and real-world relationships.

Proportional Relationships Practice Tests

These Grade 7 Math practice tests help students recognize and solve proportional relationships. Students work with unit rates, constants of proportionality, tables, equations, graphs through the origin, scale relationships, and real-world rates.

Skills covered

  • Finding unit rates and constants of proportionality
  • Using equations such as y = kx
  • Completing proportional tables
  • Identifying proportional graphs that pass through the origin
  • Solving scale, rate, cost, distance, recipe, and work problems
  • Checking whether two quantities maintain a constant ratio

How to use these practice tests

For a proportional relationship, the ratio y/x stays constant. Find the unit rate or constant of proportionality first, then use y = kx or an equivalent proportion to solve for the missing value. A proportional graph passes through the origin.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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Grade 7 Proportional Relationships Practice Tests

A 10-question Grade 7 Math practice test on constant of proportionality, unit rates, tables, equations, graphs, and real-world proportional relationships.

Find the constant ratio or unit rate, write the proportional equation, and use the relationship to solve for the missing value.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A proportional relationship has constant of proportionality k=7k=7. What is yy when x=11x=11?

Please select an answer first.

Correct answer: A

The correct answer is 7777.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Use y=kx=7⋅11=77y=kx=7\cdot11=77.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Use y=kx=7⋅11=77y=kx=7\cdot11=77.

2. QuestionMultiple choice

For the relationship y=25xy=\frac{2}{5}x, what is xx when y=18y=18?

Please select an answer first.

Correct answer: B

The correct answer is 4545.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Solve 25x=18\frac{2}{5}x=18: x=18⋅52=45x=18\cdot\frac{5}{2}=45.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Solve 25x=18\frac{2}{5}x=18: x=18⋅52=45x=18\cdot\frac{5}{2}=45.

3. QuestionMultiple choice

A proportional table has y÷x=3.5y\div x=3.5. What is yy when x=12x=12?

Please select an answer first.

Correct answer: C

The correct answer is 4242.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Use the constant ratio: y=3.5⋅12=42y=3.5\cdot12=42.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Use the constant ratio: y=3.5⋅12=42y=3.5\cdot12=42.

4. QuestionMultiple choice

Water flows at 9 liters every 6 minutes. How much water flows in 15 minutes at the same rate?

Please select an answer first.

Correct answer: D

The correct answer is 22.522.5 liters.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The rate is 9÷6=1.59\div6=1.5 liters per minute. Then 15⋅1.5=22.515\cdot1.5=22.5 liters.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The rate is 9÷6=1.59\div6=1.5 liters per minute. Then 15⋅1.5=22.515\cdot1.5=22.5 liters.

5. QuestionMultiple choice

If y=1.25xy=1.25x, what is yy when x=16x=16?

Please select an answer first.

Correct answer: A

The correct answer is 2020.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Substitute x=16x=16: y=1.25⋅16=20y=1.25\cdot16=20.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Substitute x=16x=16: y=1.25⋅16=20y=1.25\cdot16=20.

6. QuestionMultiple choice

A proportional table includes (8,14)(8,14). What value of xx gives y=35y=35?

Please select an answer first.

Correct answer: B

The correct answer is 2020.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The constant is k=14÷8=1.75k=14\div8=1.75. Solve 1.75x=351.75x=35: x=20x=20.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The constant is k=14÷8=1.75k=14\div8=1.75. Solve 1.75x=351.75x=35: x=20x=20.

7. QuestionMultiple choice

A proportional relationship has constant of proportionality k=0.75k=0.75. What is yy when x=24x=24?

Please select an answer first.

Correct answer: C

The correct answer is 1818.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Use y=kx=0.75⋅24=18y=kx=0.75\cdot24=18.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Use y=kx=0.75⋅24=18y=kx=0.75\cdot24=18.

8. QuestionMultiple choice

A cyclist travels 3.2 miles per hour. How far will the cyclist travel in 2.5 hours?

Please select an answer first.

Correct answer: D

The correct answer is 88 miles.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Multiply the constant rate by time: 3.2⋅2.5=83.2\cdot2.5=8 miles.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Multiply the constant rate by time: 3.2⋅2.5=83.2\cdot2.5=8 miles.

9. QuestionMultiple choice

For the relationship y=4xy=4x, what is xx when y=52y=52?

Please select an answer first.

Correct answer: A

The correct answer is 1313.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Solve 4x=524x=52: x=52÷4=13x=52\div4=13.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Solve 4x=524x=52: x=52÷4=13x=52\div4=13.

10. QuestionMultiple choice

A proportional relationship has constant of proportionality k=9k=9. What is yy when x=2.5x=2.5?

Please select an answer first.

Correct answer: B

The correct answer is 22.522.5.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Use y=kx=9⋅2.5=22.5y=kx=9\cdot2.5=22.5.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Use y=kx=9⋅2.5=22.5y=kx=9\cdot2.5=22.5.

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Frequently asked questions about Grade 7 Proportional Relationships

What is a proportional relationship?

It is a relationship in which the ratio between corresponding values stays constant and can be written as y = kx.

What is the constant of proportionality?

The constant of proportionality is the unit rate k, found by dividing y by x in a proportional pair.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Proportional Relationships questions in total.